Jiang, Xiangqian, Abdul-Rahman, Hussein S. and Scott, Paul J. (2013) Multi-scale freeform surface texture filtering using a mesh relaxation scheme. Measurement Science and Technology, 24 (11). ISSN 0957-0233

Surface filtering algorithms using Fourier, Gaussian, wavelets, etc, are well-established for simple Euclidean geometries. However, these filtration techniques cannot be applied to today's complex freeform surfaces, which have non-Euclidean geometries, without distortion of the results. This paper proposes a new multi-scale filtering algorithm for freeform surfaces that are represented by triangular meshes based on a mesh relaxation scheme. The proposed algorithm is capable of decomposing a freeform surface into different scales and separating surface roughness, waviness and form from each other, as will be demonstrated throughout the paper. Results of applying the proposed algorithm to computer-generated as well as real surfaces are represented and compared with a lifting wavelet filtering algorithm.

Revised_manuscript_v6_a.pdf - Accepted Version

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